An airfoil boundary layer control system may be provided. The airfoil boundary layer control system may include at least one airfoil that may include a first surface and a second surface coupled together at a leading edge and a trailing edge; at least one hollow chamber defined within the at least one airfoil; and an aperture defined in the airfoil and positioned substantially near the trailing edge, the aperture coupled in flow communication with the at least one hollow chamber; a pressure source coupled in flow communication with the at least one hollow chamber.
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1. A fuselage boundary layer control system comprising:
an aircraft comprising a fuselage;
a tail cone having a substantially conical shape and coupled to said fuselage such that an inlet is defined between said tail cone and said fuselage, said tail cone comprising:
a first surface having a substantially concave shape relative to an airflow passing over said fuselage; and
a hollow chamber defined in said tail cone;
a pressure source coupled to said tail cone and positioned within said hollow chamber, said pressure source coupled in flow communication with said inlet
a second surface having a substantially concave shape and positioned a radial distance from said first surface such that a second hollow chamber is defined between said first surface and said second surface; and
a conical aperture defined in said tail cone and in flow communication with said second hollow chamber.
2. The fuselage boundary layer control system of
3. The fuselage boundary layer control system of
4. The fuselage boundary layer control system of
5. The fuselage boundary layer control system of
6. The fuselage boundary layer control system of
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This application claims priority to U.S. Provisional Application 61/071,904, filed May 23, 2008 and entitled BOUNDARY LAYER CONTROL SUCTION FAN AND METHODS THEREOF, the entire contents of which are hereby incorporated by reference.
The general concept of pressure thrust is known in the fluid dynamics design art, to include airfoils, aircraft and submarines. The phenomenon uses energy of an airflow rushing past an airfoil or a surface, such as but not limited to a fuselage, to generate an area high pressure which exerts a force on the airfoil or the surface which pushes the airfoil or the surface in a substantially forward direction. In at least one example, the airflow is channeled against the airfoil to increase the pressure near the airfoil which increases the force pushing the airfoil in a substantially forward direction.
In the 1940s and 1950s the Griffith Aerofoil was developed. Researchers focused on very thick aerofoils, for use on span-loaded flying-wing transport and they proved a meaningful decrease in total power required for those designs. Fabio Goldschmied with help from Denis Bushnell at NASA uncovered and verified the pressure thrust phenomenon.
Moreover, the Coanda Effect is another concept that is known in the fluid dynamics design art. The Coanda Effect describes the phenomenon of how a fluid flow behaves when it is substantially adjacent a surface. Specifically, the Coanda Effect describes the tendency of a fluid flow to stay attached to a surface even if the surface curves away from an initial path of the fluid flow.
The general concept of airfoils is also known in the fluid dynamics design art. Specifically, it is known that convex surfaces facilitate accelerating a fluid flow that is adjacent the convex surface as the surface travels through a fluid medium. Conversely, a concave surface facilitates decreasing the speed of a fluid flow that is adjacent the concave surface as the surface travels through the fluid medium. This is the general concept behind pressure thrust, wherein a concave surface facilitates decreasing the airflow creating an area of above-ambient pressure. Aerodynamic lift is created when an airfoil, with an upper surface that may be convex, creates lower-than-ambient pressure above the upper surface. As a result, the pressure differential between the relatively high pressure area under the airfoil and the relatively low pressure area above the airfoil facilitates exerting a force on the airfoil that pushes, or lifts, the airfoil upwards.
The general concept of shockwaves is also known in the fluid dynamics design art. Specifically, shockwaves are produced during the transition of an object or a flow of fluid traveling at subsonic speeds to supersonic speeds, or vice versa. During transonic speeds of an aircraft, the airflow may have a velocity that is accelerated by surfaces such as, but not limited to airfoils and fuselages of the aircraft. As a result, when an aircraft is traveling at transonic speeds that are substantially below Mach 1.0, at least a portion of the airflow may be accelerated to speeds greater than Mach 1.0. As a result, a shockwave is produced. Moreover, when the velocity of the supersonic airflow is reduced to a velocity that is subsonic, a shockwave is also produced. This shockwave includes a high pressure area positioned substantially near the surface of the aircraft.
Boundary Layer Control (“BLC”) methods are generally known in the aerodynamic arts. BLC methods are exploitable for increasing lift coefficients of airfoils, among other goals. Typically, BLC methods are exploited to control the boundary layer of air on the main wing of an aircraft. BLC methods applied to the main wing of an aircraft reduce drag thereon and increase the maximum the usable angle of attack and maximum attainable lift coefficient, which increases performance.
In one embodiment, an airfoil boundary layer control system may be provided. The airfoil boundary layer control system may include at least one airfoil that may include a first surface and a second surface coupled together at a leading edge and a trailing edge; at least one hollow chamber defined within the at least one airfoil; and an aperture defined in the airfoil and positioned substantially near the trailing edge, the aperture coupled in flow communication with the at least one hollow chamber; a pressure source coupled in flow communication with the at least one hollow chamber.
In another embodiment, a fuselage boundary layer control system may be provided. The fuselage boundary layer control system may include an aircraft including a fuselage; a tail cone having a substantially conical shape and coupled to the fuselage such that an inlet is defined between the tail cone and the fuselage, the tail cone may include a first surface having a substantially concave shape; and a hollow chamber defined in the tail cone; and a pressure source coupled to tail cone and positioned within the hollow chamber, the pressure source coupled in flow communication with the inlet.
In yet another embodiment, a method of removing at least a portion of boundary layer air passing over an airfoil may be provided. The method may include providing an airfoil that includes at least one hollow chamber defined therein and an aperture defined on the airfoil and coupled in flow communication with the hollow chamber; creating a pressure within the hollow chamber using a pressure source in flow communication to the hollow chamber; and channeling air through the aperture using the pressure source.
In yet another embodiment, a method of removing at least a portion of boundary layer air passing over a fuselage of a craft may be provided, The method may include providing a substantially conical tail cone coupled to the fuselage, the tail cone includes a first concave surface and a pressure source coupled to the tail cone and positioned within a hollow chamber of the tail cone; and channeling at least a portion of a boundary layer air of an airflow into an inlet defined between the tail cone and the fuselage using the pressure source.
Advantages of embodiments of the present invention will be apparent from the following detailed description of the exemplary embodiments. The following detailed description should be considered in conjunction with the accompanying figures in which:
Aspects of the present invention are disclosed in the following description and related figures directed to specific embodiments of the invention. Those skilled in the art will recognize that alternate embodiments may be devised without departing from the spirit or the scope of the claims. Additionally, well-known elements of exemplary embodiments of the invention will not be described in detail or will be omitted so as not to obscure the relevant details of the invention.
As used herein, the word “exemplary” means “serving as an example, instance or illustration.” The embodiments described herein are not limiting, but rather are exemplary only. It should be understood that the described embodiment are not necessarily to be construed as preferred or advantageous over other embodiments. Moreover, the terms “embodiments of the invention”, “embodiments” or “invention” do not require that all embodiments of the invention include the discussed feature, advantage or mode of operation.
A general explanation of some of the theories that may be involved with at least one of the exemplary embodiments described herein may be explained in: Goldschmied, F. R., “Airfoil Static-Pressure Thrust: Flight-Test Verification,” AIAA Paper 90-3286, September 1990 the contents of which are hereby incorporated by reference in their entirety. Additional documentation can be found, for example, in Richards, E. J. and Burge, C. H. “An Airfoil Designed to Give Laminar Flow Over the Whole Surface with Boundary-Layer Suction,” A.R.C. RBM 2263, June 1943; Richards, E. J., Walker W. S. and Greening J. R., “Tests of a Griffith aerofoil in the 13 ft.×9 ft. wind tunnel part 1, part 2, part 3, part 4, lift, drag, pitching moments and velocity distribution,” ARC/R&M-2148 ARC-7464 ARC-7561 ARC-8054 ARC-8055, 1944 and Richards, E. J., Walker, W. S. and Taylor, C. R., “Wind-Tunnel Tests on a 30% Suction Wing” A.R.C. RBM 2149, July 1945, “Incompressible Aerodynamics” B. Thwaites, Dover, 1960, http://web.mit.edu/16.unified/www/ FALL/BreguetNotes.pdf, as viewed on Dec. 21, 2005, and http://web.mit.edu/16.unified/www/SPRING/propulsion/UnifiedPropulsion4/UnifiedPropulsion4.htm, as viewed Dec. 21, 2005, and “Personal Aircraft Drag Reduction,” by Bruce H. Carmichael (Capistrano Beach, Calif.: Carmichael, 1995), the contents of which are hereby incorporated by reference in their entirety.
Other general explanation of some of the theories that may be involved with at least one of the exemplary embodiments described herein may be explained in: “NASA LaRC Turbine-Electric Advanced Concept” Mark D. Moore NASA Langley Research Center, 2009; “An Experimental Evaluation of a Low Propulsive Power, Discrete Suction Concept Applied to an Axisymmetric Vehicle” Harvey J. Howe and Benjamin J. Neumann, January 1982 (report number DTNSRDC/TM-16-82/02); “Aerodynamic Design of Low-Speed Aircraft With a NASA Fuselage/Wake-Propeller Configuration” F. R. Goldschmied, AIAA paper 86-2693; “On the Aerodynamic Optimization of Mini-RPV and Small GA Aircraft” F. R. Goldschmied, AIAA paper 84-2163; “Jet-Propulsion of Subsonic Bodies with Jet Total-Head Equal to Free Stream's” F. R. Goldschmied, AIAA paper 83-1790; “Wind Tunnel Demonstration of an Optimized LTA System With 65% Power Reduction and Neutral Static Stability” Fabio R, Goldschmied, AIAA paper 83-1981; “Aerodynamic Hull Design for HASPA LTA Optimization” Fabio R. Goldschmied, Journal of AIRCRAFT VOL. 15, NO. 9, page 634; “Comment on “LTA Aerodynamic Data Revisited” F. R. Goidschmied, Journal of AIRCRAFT VOL. 14, NO. 6, page 608; “An Approach to Turbulent Incompressible Separation under Adverse Pressure Gradients” FABIO R. GOLDSCHMIED, Journal of AIRCRAFT VOL. 2, NO. 2, page 108; “An Approach to Turbulent Incompressible Separation and the Determination of Skin-Friction Under Adverse Pressure Gradients” FABIO R. GOLDSCHMIED, AIAA Paper No. 64-465; “Integrated Hull Design, Boundary-Layer Control, and Propulsion of Submerged Bodies” F. R. GOLDSCHMIED, J. HYDRONAUTTCS VOL. 1, NO. 1, page 2; and “Shaping of Axisymmetric Bodies for Minimum Drag in Incompressible Flow” Jerome S. Parsons, Raymond E. Goodson and Fabio R. Goldschmied, Journal of HYDRONAUTICS VOL. 8, NO. 3, page 100. (AIAA paper 48131-445), the contents of which are hereby incorporated by reference in their entirety.
Likewise U.S. Pat. No. 5,358,200 entitled “AIRSHIP” and U.S. Pat. No. 5,099,685 entitled “BOUNDARY LAYER CONTROL DIFFUSER FOR A WIND TUNNEL OR THE LIKE” describe related art.
In one embodiment, each airfoil 102 may be substantially identical. Moreover, each airfoil 102 may include a first surface 116 and a second surface 118, wherein first surface 116 defines a suction side of each airfoil 102, and second surface 118 defines a pressure side of each airfoil 102. First and second surfaces 116 and 118 may be coupled together at a leading edge 120 and at a radially-spaced trailing edge 122. As shown in
During operation, suction fan 100 rotates about axis 108, which facilitates channeling air over airfoils 102 such that an airflow 132 is channeled from leading edge 120 to trailing edge 122. In an alternative embodiment, airflow 132 may be a flow of any type of fluid such as but not limited to, air, liquid and plasma. In the exemplary embodiment, airflow 132 passes over first and second surfaces 116 and 118 such that a substantially low pressure zone is created substantially near first surface 116 and a substantially high pressure zone is created substantially near second surface 118. Airflow 132 may include a boundary layer 134 of airflow that is positioned substantially near first surface 116. Boundary layer air 134 may flow at a slower velocity with respect to airflow 132 because boundary layer air 134 is contacting a surface, such as first surface 116. Pressure source 114 facilitates generating a negative pressure area within second hollow chamber 126 that facilitates sucking air from second hollow chamber 126 towards pressure source 114. As a result, air may be sucked, or channeled from outside airfoil 102 through suction inlet 128 into second hollow chamber 126 and towards pressure source 114. In such an embodiment, a first portion 136 of boundary layer air 134 may be channeled into suction inlet 128 and a small second portion 138 of boundary layer air 134 may continue to flow past airfoil 102. The removal of first portion 136 or boundary layer air 134 facilitates bending airflow 132 towards trailing edge 122 of airfoil 102, which facilitates increasing the lift coefficient and generating a higher pressure differential than a fan that does not remove a portion of the boundary layer air 134. As such, the BLC-augmented airfoil 102 facilitates increasing the effectiveness of suction fan 100 by increasing the maximum pressure differential generated by the fan. Moreover, in the event debris, such as but not limited to dirt, dust, particles and the like, is sucked into second hollow chamber 126, the orientation of inlet wall 130 facilitates ejecting the debris using centrifugal force. Specifically, the centrifugal force enables debris to be ejected from second hollow chamber 126 by traveling along inlet wall 130 and out of airfoil 102.
During operation, suction fan 100 rotates about axis 108, which facilitates channeling air over airfoils 150 such that airflow 152 is channeled from leading edge 158 to trailing edge 160. In an alternative embodiment, airflow 152 may be a flow of any type of fluid such as but not limited to, liquid and plasma. In the exemplary embodiment, airflow 152 passes over first and second surfaces 154 and 156 such that a substantially low pressure zone is created substantially near first surface 154 and a substantially high pressure zone is created substantially near second surface 156. Airflow 152 may include a boundary layer (not shown) of airflow that is positioned substantially near first surface 116. The boundary layer air may flow at a slower velocity than airflow 152 because the boundary layer air is contacting a surface, such as first surface 154. Pressure source 114 facilitates generating a positive pressure area within second hollow chamber 164 that facilitates pushing, or channeling an air stream 170 out of second hollow chamber 164 towards outlet 166. As a result, air stream 170 may be channeled out of airfoil 150 through outlet 166 onto first surface 154 and towards trailing edge 160. Due to the Coanda Effect, fluid, or air stream 170, traveling substantially near a surface will tend to stay attached to the surface even in the event the surface curves or deviates from the initial path of the airflow. In the exemplary embodiment, air stream 170 is channeled out of outlet 166 substantially near first surface 154, and more specifically trailing edge 160. As a result, air stream 170 will remain attached to trailing edge 160 and therefore bend around first surface 154 of trailing edge 160, to facilitate increasing the lift coefficient and the effectiveness of airfoil 150.
In one embodiment, airflow 152 is channeled over airfoil 150. As airflow 152 passes over first surface 154, due to the principle of lift, a velocity of airflow 152 is increased or energized in a front portion 172 of airflow 152. As airflow continues to pass over first surface 154, the velocity of airflow 152 decreases and airflow 152 is de-energized substantially near a rear portion 174 of airfoil 150. The channeling of air stream 170 out of outlet 166 facilitates re-energizing airflow 152, to enable airflow 152 to stay attached to first surface 154, which facilitates bending airflow 152 substantially towards trailing edge 160. This bending of airflow 152 towards trailing edge 160 facilitates increasing the lift coefficient and generating a higher pressure differential than a fan that does not channel air stream 170 out of outlet 166. As such, the BLC-augmented airfoil 150 facilitates increasing the effectiveness of suction fan 100 by increasing the maximum pressure differential generated by the fan. Moreover, in the event debris, such as but not limited to dirt, dust, particles and the like, enters second hollow chamber 164, the orientation of outlet wall 168 facilitates ejecting the debris using centrifugal force. Specifically, the centrifugal force enables debris to be ejected from second hollow chamber 164 by traveling along outlet wall 168 and out of airfoil 150.
During operation, aircraft 200 travels through the atmosphere, which facilitates channeling an airflow 216 over fuselage 210. In the exemplary embodiment, airflow 216 may include a boundary layer (not shown) that is positioned substantially near a surface of fuselage 210. The boundary layer air may flow at a slower velocity than airflow 216 because the boundary layer air is contacting fuselage 210. Moreover, as aircraft 200 travels through a fluid medium, such as air, airflow 216 passes over fuselage 210 near an aft portion 218 of fuselage 210 at a first velocity. As airflow 216 travels towards a tail cone portion 220, the velocity of airflow 216 may decrease, which facilitates increasing the local pressure substantially near tail cone 204, and more specifically concave surface 206. In the exemplary embodiment, BLC system 202 facilitates bending airflow 216 towards concave surface 206 such that the local pressure has a greater effect on tail cone 204, which facilitates exerting a force on tail cone 204 in a substantially forward direction, in accordance with the pressure thrust phenomenon.
Fan assembly 212 facilitates generating a low pressure differential within tail cone 204 that facilitates sucking, or channeling air from gap 208 through fan assembly 212. As a result, at least some air may be sucked from outside tail cone 204 through gap 208 into tail cone 204 and discharged out of exhaust nozzle 214. In such an embodiment, a first portion 222 of boundary layer air may be channeled into gap 208, which facilitates bending airflow 216 towards concave surface 206 of tail cone 204. This bending of airflow 216 facilitates increasing the lift coefficient and generating a higher pressure differential than an aircraft that does not include BLC system 202. As such, the high pressure substantially near concave surface 206 facilitates exerting a force on tail cone 204 which facilitates pushing tail cone 204 in a substantially forward direction. Therefore, in one embodiment, BLC system 202 facilitates decreasing the effect of drag on aircraft 200 by generating a force in a substantially forward direction by bending airflow 216 towards concave surface 206 of tail cone 204, which exploits the phenomenon of pressure thrust.
Fan assembly 252, and more specifically first hollow chamber 254 of tail cone 244 may be in flow communication with annular gap 248. Moreover, tail cone 244 may include a second hollow chamber 256 positioned substantially radially away from first hollow chamber 254 such that a conical gap 258 may be defined therebetween. In one embodiment, suction fan 100 (as described in
During operation, aircraft 240 travels through the atmosphere, which facilitates channeling airflow 264 over fuselage 250. In the exemplary embodiment, airflow 264 may include a boundary layer (not shown) that is positioned substantially near a surface of fuselage 250. The boundary layer air may flow at a slower velocity than airflow 264 because the boundary layer air is contacting fuselage 250. Moreover, as aircraft 240 travels through a fluid medium, such as air, airflow 264 passes over fuselage 250 near an aft portion 268 of fuselage 250 at a first velocity. As airflow 264 travels towards a tail cone portion 270, the velocity of airflow 264 may decrease, which facilitates increasing the local pressure substantially near tail cone 244, and more specifically concave surface 246. In the exemplary embodiment, BLC system 242 facilitates bending airflow 264 towards concave surface 246 such that the local pressure has a greater effect on tail cone 244, which facilitates exerting a force on tail cone 244 in a substantially forward direction, in accordance with the pressure thrust phenomenon.
Fan assembly 252 facilitates generating a low pressure differential within first hollow chamber 254 that facilitates sucking, or channeling first portion air 262 through annular gap 248. As a result, at least some of airflow 264 may be sucked from outside tail cone 244 through annular gap 248 and into tail cone 244 and discharged out exhaust nozzle 260. In such an embodiment, first portion 262 of boundary layer air may be channeled into annular gap 248, which facilitates bending airflow 264 towards concave surface 246 of tail cone 244. In the exemplary embodiment, aircraft 240 may be traveling at high speeds such that an additional suction stage is required to bend airflow 264 towards concave surface 246. Accordingly, suction fan 100 facilitates moving a substantially low volume of air and generating a substantially high pressure differential within second hollow chamber 256 of tail cone 244 that facilitates sucking, or channeling second portion air 266 through conical gap 258. This second suction stage facilitates further bending airflow 264 towards concave surface 246, which facilitates increasing the lift coefficient and generating a higher pressure differential than an aircraft that does not include BLC system 242. As such, the high pressure substantially near concave surface 246 facilitates exerting a force on tail cone 244 which facilitates pushing tail cone 244 in a substantially forward direction. Therefore, in one embodiment, BLC system 242 facilitates decreasing the effect of drag on aircraft 240 by generating a force in a substantially forward direction by bending airflow 264 towards concave surface 246 of tail cone 244, which exploits the phenomenon of pressure thrust.
In one embodiment, BLC system 302 may include a substantially conical tail cone 304 coupled to an aft portion of aircraft 300, wherein tail cone 304 includes a substantially concave surface 306. Tail cone 304, and more specifically concave surface 306 may include a geometry that orients, or positions concave surface 306 with respect to a fuselage 308 to facilitate increasing the effectiveness of tail cone 304 in exploiting the pressure thrust of the shockwave. Moreover, tail cone 304 may be positioned with respect to fuselage 308, such that tail cone 304 facilitates increasing the effectiveness of the force generated by the shockwave on concave surface 306 of tail cone 304.
In the exemplary embodiment, aircraft 300 is a commercial airliner designed to carry passengers and/or cargo. In an alternative embodiment, aircraft 300 may be any type of aircraft known to a person having ordinary skill in the art, such as but not limited to military and civilian aircrafts. In the exemplary embodiment, tail cone 304 may be coupled to aircraft 300 such that an annular gap 310 is formed between tail cone 304 and a fuselage 308 of aircraft 300. In one embodiment, tail cone 304 may be substantially hollow and include a fan assembly 312 coupled in a hollow chamber, wherein fan assembly 312 may be substantially similar to fan assembly 212, as shown in
During operation, aircraft 300 travels through the atmosphere, which facilitates channeling airflow 318 over fuselage 308 at supersonic speeds, as described above. Moreover, airflow 318 may include a boundary layer (not shown) that is positioned substantially near a surface of fuselage 308. As aircraft 300 travels through a fluid medium, such as air, at transonic speeds, airflow 318 passes over fuselage 308. The airflow 318 traveling past fuselage 308 may be accelerated to a velocity greater than or substantially near Mach 1.0 such that an energized portion 320 of airflow 318 may flow past fuselage 308. As energized portion 320 of airflow 318 travels towards a tail cone portion, and more specifically concave surface 306 the velocity of airflow 318 may decrease resulting in a de-energized portion 322 of airflow 318, which facilitates generating a shockwave. The shockwave facilitates increasing the local pressure substantially near tail cone 304, and more specifically concave surface 306. In the exemplary embodiment, BLC system 302 facilitates bending airflow 318 towards concave surface 306 such that the shockwave that is produced is substantially near concave surface 306 and thus the local pressure has a greater effect on tail cone 304, which facilitates exerting a force on tail cone 304 in a substantially forward direction, in accordance with the pressure thrust phenomenon.
In one embodiment, fan assembly 312 facilitates generating a low pressure differential within the hollow chamber of tail cone 304 that facilitates sucking, or channeling first portion air 316 through gap 310. As a result, at least some of airflow 318 may be sucked from outside tail cone 304 through gap 310 and into tail cone 304 and discharged out exhaust nozzle 314. In such an embodiment, first portion 316 of boundary layer air may be channeled into gap 310, which facilitates bending airflow 318 towards concave surface 306 of tail cone 304. In an alternative embodiment, multiple suction stages may be used as describe above and in
During operation, an airflow 476 is channeled from leading edge 466 to trailing edge 468. In an alternative embodiment, airflow 476 may be a flow of any type of fluid such as but not limited to, air, liquid and plasma. In the exemplary embodiment, airflow 476 passes over first and second surfaces 462 and 464 such that a substantially low pressure zone is created substantially near first surface 462 and a substantially high pressure zone is created substantially near second surface 464. Airflow 476 may include a boundary layer (not shown) of airflow 476 that is positioned substantially near second surface 464. The boundary layer air may flow at a slower velocity with respect to airflow 476 because the boundary layer air is contacting second surface 464. Moreover, in one embodiment, as airflow 476 travels towards concave surface 469, the velocity of airflow 476 may decrease, which facilitates increasing the local pressure substantially near concave surface 469.
Pressure source 114 facilitates generating a negative pressure area within hollow chamber 470 that facilitates sucking air from hollow chamber 470 towards pressure source 114. As a result, air may be sucked, or channeled from outside airfoil 102 through suction inlet 472 into hollow chamber 470 and towards pressure source 114. In such an embodiment, a first portion 478 of the boundary layer air may be channeled into suction inlet 472. The removal of first portion 478 of the boundary layer air facilitates bending airflow 476 towards trailing edge 468, and more specifically concave surface 469 such that the local pressure has a greater effect on concave surface 469, which facilitates exerting a force on concave surface 469 in a substantially forward direction, in accordance with the pressure thrust phenomenon.
The foregoing description and accompanying figures illustrate the principles, preferred embodiments and modes of operation of the invention. However, the invention should not be construed as being limited to the particular embodiments discussed above. Additional variations of the embodiments discussed above will be appreciated by those skilled in the art.
Therefore, the above-described embodiments should be regarded as illustrative rather than restrictive. Accordingly, it should be appreciated that variations to those embodiments can be made by those skilled in the art without departing from the scope of the invention as defined by the following claims.
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